26441023200 has 288 divisors, whose sum is σ = 90950428800. Its totient is φ = 6653675520.

The previous prime is 26441023187. The next prime is 26441023201. The reversal of 26441023200 is 232014462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26441023201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13359811 + ... + 13361789.

It is an arithmetic number, because the mean of its divisors is an integer number (315800100).

Almost surely, 2^26441023200 is an apocalyptic number.

26441023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26441023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45475214400).

26441023200 is an abundant number, since it is smaller than the sum of its proper divisors (64509405600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26441023200 is a wasteful number, since it uses less digits than its factorization.

26441023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 26441023200 its reverse (232014462), we get a palindrome (26673037662).

The spelling of 26441023200 in words is "twenty-six billion, four hundred forty-one million, twenty-three thousand, two hundred".